The present invention relates to a nozzle airfoil of a stage of a gas turbine and particularly relates to a first stage turbine nozzle airfoil internal core profile.
Many system requirements must be met for each stage of the hot gas path section of a gas turbine in order to meet design goals. Particularly, the nozzle segments of the first stage of the turbine section must meet the operating requirements for that particular stage and also meet requirements for nozzle airfoil cooling flow efficiency, life and wall thickness distribution.
BACKGROUND OF THE INVENTION In accordance with a preferred embodiment of the present invention, there is provided a unique internal core profile for a nozzle airfoil of a gas turbine, preferably the first stage nozzle, which enhances the performance of the gas turbine. It will be appreciated that the external shape of the nozzle airfoil improves its interaction with the buckets forming the stages of the turbine. Concomitantly the internal core profile shape of the nozzle airfoil is also significant for structural reasons as well as to optimize internal cooling with appropriate wall thickness. The nozzle airfoil internal core profile is defined by a unique loci of points which achieve the necessary structural and cooling requirements whereby improved turbine performance is obtained. This unique loci of points define the internal nominal core profile and are identified by the X, Y and Z Cartesian coordinates of Table I which follows. The 1,200 points for the coordinate values shown in Table I are for a cold, i.e., room temperature nozzle airfoil at various cross-sections of the nozzle airfoil along its length. The positive X, Y and Z directions are axial toward the exhaust end of the turbine, tangential in the direction of engine rotation looking aft and radially outwardly toward the outer platform, respectively. The X and Y coordinates are given in distance dimensions, e.g., units of inches, and are joined smoothly at each Z location to form a smooth continuous internal core profile cross-section. The Z coordinates are given in inches in distances along radii from the turbine axis. Each internal core profile section in the X, Y plane is joined smoothly with the adjacent profile sections in the Z direction to form, using the Table I coordinate values, the complete internal nozzle airfoil core profile.
Table I provides coordinate values for the complete internal core airfoil shape passing through the inner and outer platforms and the airfoil therebetween. The physical shape of the internal core profile between the inner and outer platforms is given in Table I by the airfoil sections defined between Z value limits of 22.200 and 25.050.
It will be appreciated that as each nozzle airfoil heats up in use, the internal core profile will change. Thus, the cold or room temperature profile is given by the X, Y and Z coordinates for manufacturing purposes. Because a manufactured internal nozzle airfoil core profile may be different from the nominal profile given by the following table, a distance of ±0.030 inches from the nominal profile in a direction normal to any surface location along the nominal profile defines a profile envelope for this internal nozzle airfoil core profile. The profile is robust to this variation without impairment of the mechanical cooling and aerodynamic functions of the airfoil.
In accordance with a preferred embodiment of the present invention, there is provided a turbine nozzle segment including inner and outer platforms and an airfoil extending between the platforms, the airfoil having an internal nominal core profile at least a portion of which is substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I between Z value limits of 22.200 and 25.050, wherein the Z values between the limits are radial distances from a turbine axis to planes extending normal to the radii and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define internal core profile sections at each distance Z along the airfoil between said Z value limits, the profile sections at the Z distances between the limits being joined smoothly with one another to form the airfoil internal core profile.
In accordance with a further embodiment of the present invention, there is provided a turbine comprising a plurality of nozzle segments arranged in a circumferential array about an axis of the turbine, each nozzle segment including inner and outer platforms and at least one airfoil extending between the platforms, each airfoil having an internal nominal core profile at least a portion of which is substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I between Z value limits of 22.200 and 25.050, wherein said Z values between the limits are radial distances from a turbine axis to planes extending normal to the radii and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define internal core profile sections at each distance Z along the airfoil between the Z value limits, the profile sections at the Z distances between the limits being joined smoothly with one another to form the airfoil internal core profile.
In accordance with a further embodiment of the present invention, there is provided a turbine nozzle segment including inner and outer platforms and an airfoil extending between the platforms, the airfoil having an internal nominal core profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are radial distances from a turbine axis to planes extending normal to the radii and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define internal core profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil internal core profile.
In accordance with another embodiment of the present invention, there is provided a turbine comprising a plurality of nozzle segments in a circumferential array about an axis of the turbine, each segment having inner and outer platforms and at least one airfoil extending between the platforms, each airfoil having an internal nominal core profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are radial distances from the turbine axis to planes extending normal to the radii, and wherein the X and Y values are distances in inches which, when connected by smooth continuing arcs, define internal core profile sections at each distance Z along the airfoil, the profile sections at the Z distances being joined smoothly with one another to form the airfoil internal core profile.
BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 is a schematic representation of a hot gas path through multiple stages of a gas turbine and illustrates a first stage nozzle airfoil according to a preferred embodiment of the present invention;
FIG. 2 is a perspective view of a nozzle segment with an internal nozzle airfoil core profile depicted in full lines according to a preferred embodiment of the present invention with the nozzle airfoil shown in conjunction with inner and outer platforms and remaining portions of the nozzle airfoil illustrated by the dashed lines;
FIG. 3 is a circumferential perspective view of the nozzle airfoil internal core profile of FIG. 2 and associated airfoil and platforms;
FIG. 4 is a perspective view from above the outer platform of the internal core profile including the associated airfoil and platform; and
FIG. 5 is a cross-sectional view of the nozzle airfoil taken generally about on line 5-5 in FIG. 3.
DETAILED DESCRIPTION OF THE INVENTION Referring now to the drawings, particularly to FIG. 1, there is illustrated a hot gas path, generally designated 10, of a gas turbine 12 including a plurality of turbine stages. Three stages are illustrated. For example, the first stage comprises a plurality of circumferentially spaced nozzles 14 and buckets 16. The nozzles 14 are circumferentially spaced one from the other and fixed about the axis of the rotor. First stage buckets 16 are mounted on the turbine rotor 17. A second stage of the turbine 12 is also illustrated, including a plurality of circumferentially spaced nozzles 18 and a plurality of circumferentially spaced buckets 20 mounted on the rotor 17. The third stage is also illustrated including a plurality of circumferentially spaced nozzles 22 and buckets 24 mounted on rotor 17. It will be appreciated that the nozzles and buckets lie in the hot gas path 10 of the turbine, the direction of flow of the hot gas through the hot gas path 10 being indicated by the arrow 26.
Referring now to FIG. 2, there is illustrated a nozzle segment generally designated 30 in which one or more airfoils 32 are disposed between inner and outer platforms 34 and 36, respectively. It will be appreciated that a plurality of nozzle segments 30 are disposed in a circumferential array about the turbine axis to form an annular flow path with the airfoils 32 guiding the hot gas to the follow-on buckets of the stage, e.g., the first stage buckets 16. The vanes 32 of the nozzle segments 30 are cooled by flowing air internally within the airfoils 32 and between the inner and outer platforms 34 and 36, respectively.
The internal core shape of the nozzle airfoil is indicated by the full lines 38 in the drawing figures. In FIG. 5, the internal core shape 38 is in the general form of an airfoil having internal wall surfaces 40 and 42 adjacent suction and pressure external surfaces of the airfoil, respectively, which, with the internal core profile 38, define an airfoil wall thickness t. The internal core profile extends through the inner and outer platforms 34 and 36.
To define the internal core shape of each nozzle airfoil including within the inner and outer platforms, there is provided a unique set of loci of points in space that meet the stage requirements, cooling areas, wall thickness, and can be manufactured. This unique loci of points which define the internal nozzle airfoil core profile 38 comprises a set of 1,200 points relative to the axis of rotation of the turbine. A Cartesian coordinate system of X, Y and Z values given in Table I below define this internal core profile 38 of the nozzle airfoil at various locations along its length. The coordinate values for the X and Y coordinates are set forth in inches in Table I although other units of dimensions may be used when the values are appropriately converted. The Z values set forth in Table I are radial distances from a turbine axis to planes extending normal to the radii. The Cartesian coordinate system has orthogonally related X, Y and Z axes and the X axis lies parallel to the turbine rotor center line, i.e., the rotary axis, and a positive x coordinate value is axial toward the aft, i.e., exhaust end of the turbine. The positive Y coordinate value extends tangentially in the direction of rotation of the rotor, looking aft, and the positive Z coordinate value is radially outwardly toward the outer platform.
By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the internal core profile 38 of the nozzle airfoil representatively illustrated by the full lines in the drawing figures, at each Z distance along the length of the nozzle airfoil can be ascertained. By connecting the X and Y values with smooth continuing arcs, each internal core profile section 38 at each distance Z is fixed. The internal core profiles of the various internal locations between the distances Z are determined by smoothly connecting the adjacent profile sections 38 to one another to form the core profile. These values represent the internal core profiles at ambient non-operating or non-hot conditions.
The Table I values are generated and shown to three decimal places for determining the internal core profile of the nozzle airfoil. There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual internal profile of the nozzle airfoil. Accordingly, the values for the profile given in Table I are for a nominal internal nozzle airfoil core profile. It will therefore be appreciated that ±typical manufacturing tolerances, i.e., ±values, including any coating thicknesses, are additive to the X and Y values given in Table I below. Accordingly, a distance of ±0.030 inches in a direction normal to any surface location along the internal core profile defines an internal core profile envelope for this particular nozzle airfoil design and turbine, i.e., a range of variation between measured points on the actual internal core profile at nominal cold or room temperature and the ideal position of those points as given in Table I below at the same temperature. The internal core profile is robust to this range of variation without impairment of mechanical and cooling functions.
The Table I values below provide the X, Y, Z Cartesian values for the internal core of the airfoil including through the inner and outer platforms. The physical configuration of the internal core profile between the inner and outer platforms is provided by Table I between Z value limits of 22.200 and 25.050. These Z value limits commence radially outwardly of the inner platform and radially inwardly of the outer platform, respectively and define the physical shape of the internal core profile between those limits.
The coordinate values given in Table I below provide the preferred nominal internal core profile envelope through the nozzle airfoil including through the inner and outer platforms.
X Y Z X Y Z X Y Z
−0.582 −2.413 21.250 −1.406 −3.884 21.250 −2.385 −3.350 21.250
−0.587 −2.466 21.250 −1.412 −2.397 21.250 −2.391 −4.162 21.250
−0.591 −2.361 21.250 −1.433 −3.930 21.250 −2.417 −3.392 21.250
−0.604 −2.516 21.250 −1.458 −2.423 21.250 −2.435 −4.134 21.250
−0.611 −2.312 21.250 −1.459 −3.976 21.250 −2.448 −3.435 21.250
−0.632 −2.560 21.250 −1.486 −4.021 21.250 −2.475 −4.099 21.250
−0.641 −2.269 21.250 −1.504 −2.449 21.250 −2.479 −3.478 21.250
−0.662 −2.604 21.250 −1.514 −4.067 21.250 −2.510 −4.059 21.250
−0.679 −2.233 21.250 −1.542 −4.111 21.250 −2.510 −3.520 21.250
−0.692 −2.648 21.250 −1.549 −2.476 21.250 −2.539 −4.015 21.250
−0.721 −2.692 21.250 −1.571 −4.155 21.250 −2.540 −3.564 21.250
−0.724 −2.205 21.250 −1.594 −2.505 21.250 −2.562 −3.967 21.250
−0.750 −2.736 21.250 −1.602 −4.199 21.250 −2.567 −3.610 21.250
−0.773 −2.185 21.250 −1.634 −4.241 21.250 −2.581 −3.918 21.250
−0.779 −2.781 21.250 −1.638 −2.534 21.250 −2.588 −3.658 21.250
−0.807 −2.826 21.250 −1.669 −4.280 21.250 −2.588 −3.658 21.250
−0.825 −2.174 21.250 −1.681 −2.565 21.250 −2.595 −3.867 21.250
−0.834 −2.871 21.250 −1.708 −4.316 21.250 −2.602 −3.709 21.250
−0.862 −2.916 21.250 −1.723 −2.597 21.250 −2.604 −3.815 21.250
−0.877 −2.173 21.250 −1.752 −4.345 21.250 −2.607 −3.762 21.250
−0.889 −2.961 21.250 −1.764 −2.630 21.250 −0.555 −2.141 21.725
−0.916 −3.007 21.250 −1.801 −4.364 21.250 −0.564 −2.197 21.725
−0.930 −2.181 21.250 −1.804 −2.665 21.250 −0.565 −2.086 21.725
−0.943 −3.052 21.250 −1.843 −2.701 21.250 −0.585 −2.250 21.725
−0.970 −3.098 21.250 −1.853 −4.372 21.250 −0.594 −2.037 21.725
−0.980 −2.198 21.250 −1.880 −2.738 21.250 −0.607 −2.303 21.725
−0.997 −3.143 21.250 −1.906 −4.369 21.250 −0.628 −2.355 21.725
−1.023 −3.189 21.250 −1.917 −2.776 21.250 −0.637 −2.000 21.725
−1.028 −2.219 21.250 −1.953 −2.815 21.250 −0.649 −2.408 21.725
−1.050 −3.235 21.250 −1.958 −4.359 21.250 −0.671 −2.461 21.725
−1.076 −3.281 21.250 −1.989 −2.854 21.250 −0.688 −1.975 21.725
−1.077 −2.239 21.250 −2.008 −4.343 21.250 −0.692 −2.513 21.725
−1.101 −3.327 21.250 −2.024 −2.894 21.250 −0.714 −2.566 21.725
−1.126 −2.260 21.250 −2.058 −4.324 21.250 −0.735 −2.619 21.725
−1.127 −3.374 21.250 −2.059 −2.933 21.250 −0.744 −1.966 21.725
−1.152 −3.421 21.250 −2.093 −2.974 21.250 −0.757 −2.671 21.725
−1.174 −2.281 21.250 −2.106 −4.302 21.250 −0.778 −2.724 21.725
−1.177 −3.467 21.250 −2.127 −3.015 21.250 −0.800 −2.777 21.725
−1.202 −3.514 21.250 −2.154 −4.279 21.250 −0.800 −1.972 21.725
−1.222 −2.303 21.250 −2.160 −3.056 21.250 −0.821 −2.829 21.725
−1.227 −3.560 21.250 −2.193 −3.097 21.250 −0.842 −2.882 21.725
−1.252 −3.607 21.250 −2.201 −4.255 21.250 −0.853 −1.993 21.725
−1.270 −2.326 21.250 −2.226 −3.139 21.250 −0.864 −2.935 21.725
−1.278 −3.653 21.250 −2.248 −4.231 21.250 −0.885 −2.987 21.725
−1.303 −3.699 21.250 −2.258 −3.180 21.250 −0.897 −2.028 21.725
−1.318 −2.349 21.250 −2.290 −3.223 21.250 −0.907 −3.040 21.725
−1.329 −3.746 21.250 −2.295 −4.208 21.250 −0.928 −3.093 21.725
−0.983 −2.103 21.725 −1.899 −2.955 21.725 −0.678 −2.351 22.200
−0.993 −3.251 21.725 −1.919 −4.432 21.725 −0.682 −1.761 22.200
−1.014 −3.303 21.725 −1.938 −2.996 21.725 −0.694 −2.411 22.200
−1.026 −2.141 21.725 −1.976 −4.429 21.725 −0.710 −2.470 22.200
−1.036 −3.356 21.725 −1.977 −3.038 21.725 −0.726 −2.529 22.200
−1.058 −3.408 21.725 −2.015 −3.080 21.725 −0.742 −2.588 22.200
−1.069 −2.178 21.725 −2.032 −4.421 21.725 −0.742 −1.768 22.200
−1.080 −3.461 21.725 −2.054 −3.122 21.725 −0.758 −2.647 22.200
−1.102 −3.513 21.725 −2.088 −4.410 21.725 −0.775 −2.706 22.200
−1.112 −2.215 21.725 −2.092 −3.164 21.725 −0.791 −2.765 22.200
−1.125 −3.565 21.725 −2.130 −3.206 21.725 −0.794 −1.799 22.200
−1.148 −3.618 21.725 −2.143 −4.395 21.725 −0.808 −2.824 22.200
−1.155 −2.253 21.725 −2.168 −3.248 21.725 −0.825 −2.883 22.200
−1.171 −3.670 21.725 −2.197 −4.378 21.725 −0.831 −1.848 22.200
−1.194 −3.721 21.725 −2.206 −3.291 21.725 −0.842 −2.942 22.200
−1.198 −2.290 21.725 −2.243 −3.334 21.725 −0.859 −3.000 22.200
−1.218 −3.773 21.725 −2.250 −4.358 21.725 −0.865 −1.899 22.200
−1.240 −2.327 21.725 −2.280 −3.377 21.725 −0.877 −3.059 22.200
−1.243 −3.824 21.725 −2.303 −4.337 21.725 −0.895 −3.118 22.200
−1.268 −3.875 21.725 −2.317 −3.420 21.725 −0.900 −1.949 22.200
−1.283 −2.365 21.725 −2.354 −3.464 21.725 −0.913 −3.176 22.200
−1.294 −3.926 21.725 −2.354 −4.313 21.725 −0.931 −3.235 22.200
−1.321 −3.976 21.725 −2.390 −3.507 21.725 −0.936 −1.999 22.200
−1.326 −2.403 21.725 −2.404 −4.285 21.725 −0.950 −3.293 22.200
−1.350 −4.025 21.725 −2.426 −3.551 21.725 −0.969 −3.351 22.200
−1.368 −2.440 21.725 −2.450 −4.252 21.725 −0.971 −2.049 22.200
−1.379 −4.074 21.725 −2.450 −4.252 21.725 −0.989 −3.409 22.200
−1.410 −4.121 21.725 −2.463 −3.595 21.725 −1.007 −2.099 22.200
−1.411 −2.478 21.725 −2.491 −4.213 21.725 −1.009 −3.467 22.200
−1.443 −4.168 21.725 −2.498 −3.639 21.725 −1.030 −3.524 22.200
−1.453 −2.517 21.725 −2.525 −4.167 21.725 −1.043 −2.148 22.200
−1.478 −4.212 21.725 −2.532 −3.685 21.725 −1.051 −3.582 22.200
−1.494 −2.555 21.725 −2.552 −4.117 21.725 −1.073 −3.639 22.200
−1.516 −4.255 21.725 −2.562 −3.733 21.725 −1.080 −2.197 22.200
−1.536 −2.594 21.725 −2.574 −4.064 21.725 −1.096 −3.696 22.200
−1.556 −4.295 21.725 −2.585 −3.785 21.725 −1.117 −2.246 22.200
−1.577 −2.633 21.725 −2.589 −4.010 21.725 −1.119 −3.753 22.200
−1.600 −4.331 21.725 −2.599 −3.840 21.725 −1.143 −3.809 22.200
−1.618 −2.672 21.725 −2.599 −3.954 21.725 −1.155 −2.294 22.200
−1.647 −4.363 21.725 −2.603 −3.897 21.725 −1.168 −3.865 22.200
−1.659 −2.712 21.725 −0.559 −1.877 22.200 −1.192 −2.343 22.200
−1.697 −4.390 21.725 −0.568 −1.937 22.200 −1.195 −3.920 22.200
−1.700 −2.752 21.725 −0.579 −1.820 22.200 −1.222 −3.975 22.200
−1.740 −2.792 21.725 −0.584 −1.996 22.200 −1.230 −2.391 22.200
−1.750 −4.410 21.725 −0.599 −2.055 22.200 −1.251 −4.029 22.200
−1.780 −2.832 21.725 −0.615 −2.115 22.200 −1.269 −2.438 22.200
−1.806 −4.424 21.725 −0.624 −1.779 22.200 −1.281 −4.082 22.200
−1.346 −4.186 22.200 −2.509 −4.296 22.200 −1.017 −2.034 22.675
−1.382 −4.235 22.200 −2.520 −3.783 22.200 −1.023 −3.527 22.675
−1.386 −2.580 22.200 −2.542 −4.244 22.200 −1.043 −3.590 22.675
−1.420 −4.283 22.200 −2.554 −3.833 22.200 −1.049 −2.092 22.675
−1.425 −2.627 22.200 −2.567 −4.189 22.200 −1.064 −3.652 22.675
−1.461 −4.329 22.200 −2.581 −3.888 22.200 −1.082 −2.149 22.675
−1.465 −2.673 22.200 −2.585 −4.130 22.200 −1.086 −3.714 22.675
−1.505 −4.371 22.200 −2.596 −3.948 22.200 −1.108 −3.776 22.675
−1.506 −2.719 22.200 −2.596 −4.070 22.200 −1.116 −2.205 22.675
−1.546 −2.765 22.200 −2.601 −4.009 22.200 −1.132 −3.838 22.675
−1.553 −4.410 22.200 −0.578 −1.672 22.675 −1.150 −2.262 22.675
−1.587 −2.811 22.200 −0.590 −1.609 22.675 −1.156 −3.899 22.675
−1.603 −4.444 22.200 −0.591 −1.737 22.675 −1.181 −3.960 22.675
−1.629 −2.856 22.200 −0.604 −1.801 22.675 −1.184 −2.318 22.675
−1.658 −4.473 22.200 −0.617 −1.866 22.675 −1.208 −4.020 22.675
−1.670 −2.901 22.200 −0.630 −1.930 22.675 −1.219 −2.374 22.675
−1.712 −2.945 22.200 −0.638 −1.564 22.675 −1.236 −4.080 22.675
−1.715 −4.496 22.200 −0.643 −1.995 22.675 −1.254 −2.429 22.675
−1.754 −2.990 22.200 −0.656 −2.059 22.675 −1.265 −4.139 22.675
−1.774 −4.512 22.200 −0.670 −2.124 22.675 −1.290 −2.485 22.675
−1.796 −3.034 22.200 −0.683 −2.188 22.675 −1.296 −4.197 22.675
−1.834 −4.521 22.200 −0.697 −2.252 22.675 −1.326 −2.540 22.675
−1.839 −3.078 22.200 −0.701 −1.552 22.675 −1.328 −4.254 22.675
−1.882 −3.122 22.200 −0.711 −2.317 22.675 −1.363 −2.594 22.675
−1.895 −4.525 22.200 −0.725 −2.381 22.675 −1.363 −4.310 22.675
−1.925 −3.166 22.200 −0.740 −2.445 22.675 −1.400 −2.648 22.675
−1.956 −4.524 22.200 −0.754 −2.510 22.675 −1.400 −4.364 22.675
−1.968 −3.210 22.200 −0.762 −1.575 22.675 −1.438 −2.702 22.675
−2.011 −3.253 22.200 −0.769 −2.574 22.675 −1.440 −4.417 22.675
−2.017 −4.519 22.200 −0.784 −2.638 22.675 −1.476 −2.756 22.675
−2.054 −3.297 22.200 −0.799 −2.702 22.675 −1.483 −4.466 22.675
−2.078 −4.509 22.200 −0.801 −1.627 22.675 −1.515 −2.809 22.675
−2.097 −3.340 22.200 −0.814 −2.766 22.675 −1.530 −4.513 22.675
−2.138 −4.496 22.200 −0.830 −2.830 22.675 −1.555 −2.861 22.675
−2.140 −3.384 22.200 −0.831 −1.686 22.675 −1.581 −4.554 22.675
−2.183 −3.427 22.200 −0.845 −2.894 22.675 −1.595 −2.913 22.675
−2.197 −4.479 22.200 −0.861 −1.745 22.675 −1.636 −4.590 22.675
−2.226 −3.471 22.200 −0.862 −2.958 22.675 −1.636 −2.965 22.675
−2.254 −4.459 22.200 −0.878 −3.021 22.675 −1.678 −3.016 22.675
−2.269 −3.515 22.200 −0.891 −1.803 22.675 −1.696 −4.618 22.675
−2.311 −4.436 22.200 −0.895 −3.085 22.675 −1.721 −3.066 22.675
−2.311 −3.559 22.200 −0.912 −3.149 22.675 −1.759 −4.637 22.675
−2.354 −3.603 22.200 −0.922 −1.861 22.675 −1.764 −3.116 22.675
−2.366 −4.409 22.200 −0.929 −3.212 22.675 −1.807 −3.165 22.675
−2.396 −3.647 22.200 −0.947 −3.275 22.675 −1.824 −4.647 22.675
−2.419 −4.378 22.200 −0.953 −1.919 22.675 −1.852 −3.213 22.675
−2.438 −3.691 22.200 −0.965 −3.339 22.675 −1.889 −4.648 22.675
−1.990 −3.355 22.675 −0.789 −1.523 23.150 −1.454 −2.815 23.150
−2.019 −4.629 22.675 −0.795 −2.684 23.150 −1.472 −4.561 23.150
−2.037 −3.400 22.675 −0.810 −2.752 23.150 −1.493 −2.872 23.150
−2.083 −4.612 22.675 −0.816 −1.587 23.150 −1.516 −4.615 23.150
−2.085 −3.446 22.675 −0.825 −2.819 23.150 −1.533 −2.929 23.150
−2.133 −3.490 22.675 −0.841 −2.887 23.150 −1.565 −4.664 23.150
−2.145 −4.591 22.675 −0.844 −1.651 23.150 −1.573 −2.985 23.150
−2.182 −3.535 22.675 −0.857 −2.954 23.150 −1.615 −3.041 23.150
−2.206 −4.566 22.675 −0.871 −1.714 23.150 −1.618 −4.708 23.150
−2.231 −3.579 22.675 −0.873 −3.021 23.150 −1.657 −3.095 23.150
−2.266 −4.538 22.675 −0.890 −3.089 23.150 −1.676 −4.746 23.150
−2.280 −3.622 22.675 −0.899 −1.778 23.150 −1.701 −3.149 23.150
−2.324 −4.508 22.675 −0.907 −3.156 23.150 −1.740 −4.773 23.150
−2.329 −3.666 22.675 −0.924 −3.223 23.150 −1.745 −3.203 23.150
−2.378 −3.710 22.675 −0.928 −1.841 23.150 −1.790 −3.255 23.150
−2.381 −4.475 22.675 −0.942 −3.290 23.150 −1.807 −4.788 23.150
−2.426 −3.755 22.675 −0.957 −1.904 23.150 −1.837 −3.306 23.150
−2.435 −4.438 22.675 −0.961 −3.357 23.150 −1.876 −4.791 23.150
−2.474 −3.800 22.675 −0.979 −3.423 23.150 −1.884 −3.357 23.150
−2.485 −4.394 22.675 −0.986 −1.967 23.150 −1.932 −3.407 23.150
−2.518 −3.849 22.675 −0.999 −3.490 23.150 −1.945 −4.783 23.150
−2.526 −4.343 22.675 −1.016 −2.029 23.150 −1.981 −3.456 23.150
−2.555 −3.903 22.675 −1.019 −3.556 23.150 −2.012 −4.766 23.150
−2.555 −3.903 22.675 −1.039 −3.622 23.150 −2.031 −3.503 23.150
−2.557 −4.285 22.675 −1.046 −2.092 23.150 −2.077 −4.743 23.150
−2.579 −4.223 22.675 −1.060 −3.688 23.150 −2.082 −3.551 23.150
−2.582 −3.963 22.675 −1.076 −2.154 23.150 −2.134 −3.597 23.150
−2.592 −4.159 22.675 −1.082 −3.754 23.150 −2.141 −4.715 23.150
−2.595 −4.028 22.675 −1.105 −3.819 23.150 −2.186 −3.643 23.150
−2.598 −4.093 22.675 −1.108 −2.216 23.150 −2.202 −4.683 23.150
−0.583 −1.527 23.150 −1.128 −3.884 23.150 −2.238 −3.687 23.150
−0.587 −1.596 23.150 −1.139 −2.277 23.150 −2.262 −4.648 23.150
−0.598 −1.664 23.150 −1.153 −3.949 23.150 −2.291 −3.732 23.150
−0.610 −1.732 23.150 −1.172 −2.338 23.150 −2.321 −4.611 23.150
−0.621 −1.470 23.150 −1.178 −4.014 23.150 −2.345 −3.776 23.150
−0.622 −1.800 23.150 −1.204 −4.078 23.150 −2.378 −4.573 23.150
−0.634 −1.869 23.150 −1.205 −2.399 23.150 −2.398 −3.821 23.150
−0.646 −1.937 23.150 −1.232 −4.141 23.150 −2.434 −4.532 23.150
−0.659 −2.005 23.150 −1.238 −2.460 23.150 −2.451 −3.866 23.150
−0.672 −2.073 23.150 −1.261 −4.204 23.150 −2.485 −4.485 23.150
−0.684 −2.141 23.150 −1.272 −2.520 23.150 −2.500 −3.914 23.150
−0.685 −1.448 23.150 −1.291 −4.267 23.150 −2.529 −4.431 23.150
−0.697 −2.209 23.150 −1.307 −2.580 23.150 −2.543 −3.969 23.150
−0.711 −2.277 23.150 −1.323 −4.328 23.150 −2.543 −3.969 23.150
−0.724 −2.345 23.150 −1.343 −2.639 23.150 −2.560 −4.370 23.150
−0.738 −2.413 23.150 −1.356 −4.389 23.150 −2.573 −4.031 23.150
−0.750 −1.468 23.150 −1.379 −2.698 23.150 −2.581 −4.304 23.150
−0.566 −1.586 23.625 −1.110 −3.950 23.625 −2.226 −3.794 23.625
−0.567 −1.515 23.625 −1.115 −2.326 23.625 −2.246 −4.780 23.625
−0.578 −1.656 23.625 −1.135 −4.017 23.625 −2.282 −3.837 23.625
−0.590 −1.727 23.625 −1.147 −2.390 23.625 −2.305 −4.739 23.625
−0.602 −1.797 23.625 −1.160 −4.084 23.625 −2.339 −3.881 23.625
−0.610 −1.460 23.625 −1.179 −2.454 23.625 −2.362 −4.696 23.625
−0.614 −1.868 23.625 −1.186 −4.151 23.625 −2.396 −3.924 23.625
−0.626 −1.938 23.625 −1.212 −2.517 23.625 −2.418 −4.652 23.625
−0.639 −2.008 23.625 −1.213 −4.217 23.625 −2.452 −3.968 23.625
−0.652 −2.079 23.625 −1.242 −4.282 23.625 −2.471 −4.604 23.625
−0.665 −2.149 23.625 −1.246 −2.580 23.625 −2.504 −4.017 23.625
−0.678 −2.219 23.625 −1.272 −4.347 23.625 −2.519 −4.551 23.625
−0.679 −1.445 23.625 −1.280 −2.643 23.625 −2.519 −4.551 23.625
−0.691 −2.289 23.625 −1.304 −4.411 23.625 −2.546 −4.074 23.625
−0.705 −2.359 23.625 −1.315 −2.705 23.625 −2.555 −4.489 23.625
−0.718 −2.430 23.625 −1.337 −4.474 23.625 −2.575 −4.140 23.625
−0.732 −2.500 23.625 −1.351 −2.767 23.625 −2.579 −4.422 23.625
−0.741 −1.477 23.625 −1.372 −4.536 23.625 −2.590 −4.209 23.625
−0.747 −2.570 23.625 −1.388 −2.828 23.625 −2.591 −4.352 23.625
−0.761 −2.640 23.625 −1.410 −4.597 23.625 −2.595 −4.281 23.625
−0.773 −1.540 23.625 −1.426 −2.889 23.625 −0.522 −1.602 24.100
−0.776 −2.709 23.625 −1.451 −4.656 23.625 −0.531 −1.674 24.100
−0.791 −2.779 23.625 −1.464 −2.949 23.625 −0.544 −1.746 24.100
−0.799 −1.607 23.625 −1.494 −4.712 23.625 −0.548 −1.535 24.100
−0.807 −2.849 23.625 −1.503 −3.009 23.625 −0.556 −1.818 24.100
−0.822 −2.919 23.625 −1.541 −4.766 23.625 −0.569 −1.890 24.100
−0.826 −1.673 23.625 −1.543 −3.068 23.625 −0.581 −1.962 24.100
−0.838 −2.988 23.625 −1.585 −3.126 23.625 −0.594 −2.034 24.100
−0.853 −1.739 23.625 −1.593 −4.815 23.625 −0.608 −2.106 24.100
−0.855 −3.058 23.625 −1.627 −3.184 23.625 −0.609 −1.497 24.100
−0.872 −3.127 23.625 −1.650 −4.858 23.625 −0.621 −2.178 24.100
−0.880 −1.805 23.625 −1.670 −3.241 23.625 −0.634 −2.250 24.100
−0.889 −3.197 23.625 −1.712 −4.893 23.625 −0.648 −2.322 24.100
−0.906 −3.266 23.625 −1.715 −3.296 23.625 −0.662 −2.394 24.100
−0.908 −1.871 23.625 −1.761 −3.351 23.625 −0.676 −2.465 24.100
−0.924 −3.335 23.625 −1.780 −4.916 23.625 −0.681 −1.504 24.100
−0.936 −1.937 23.625 −1.808 −3.405 23.625 −0.691 −2.537 24.100
−0.943 −3.404 23.625 −1.850 −4.926 23.625 −0.706 −2.609 24.100
−0.962 −3.473 23.625 −1.856 −3.458 23.625 −0.721 −2.680 24.100
−0.964 −2.002 23.625 −1.905 −3.509 23.625 −0.733 −1.554 24.100
−0.981 −3.542 23.625 −1.922 −4.922 23.625 −0.736 −2.752 24.100
−0.993 −2.068 23.625 −1.956 −3.560 23.625 −0.752 −2.823 24.100
−1.001 −3.610 23.625 −1.991 −4.907 23.625 −0.760 −1.622 24.100
−1.021 −3.679 23.625 −2.008 −3.609 23.625 −0.767 −2.895 24.100
−1.023 −2.133 23.625 −2.059 −4.883 23.625 −0.784 −2.966 24.100
−1.043 −3.747 23.625 −2.061 −3.657 23.625 −0.786 −1.690 24.100
−1.053 −2.198 23.625 −2.115 −3.704 23.625 −0.800 −3.037 24.100
−0.840 −1.826 24.100 −1.620 −4.963 24.100 −0.595 −2.289 24.575
−0.852 −3.250 24.100 −1.638 −3.384 24.100 −0.610 −2.362 24.575
−0.868 −1.894 24.100 −1.680 −5.005 24.100 −0.625 −2.434 24.575
−0.870 −3.321 24.100 −1.683 −3.442 24.100 −0.634 −1.585 24.575
−0.889 −3.392 24.100 −1.729 −3.499 24.100 −0.640 −2.507 24.575
−0.896 −1.961 24.100 −1.746 −5.037 24.100 −0.656 −2.579 24.575
−0.908 −3.463 24.100 −1.778 −3.554 24.100 −0.672 −2.652 24.575
−0.924 −2.029 24.100 −1.816 −5.057 24.100 −0.688 −2.724 24.575
−0.927 −3.533 24.100 −1.828 −3.607 24.100 −0.695 −1.626 24.575
−0.947 −3.603 24.100 −1.880 −3.658 24.100 −0.704 −2.797 24.575
−0.952 −2.096 24.100 −1.889 −5.062 24.100 −0.721 −2.869 24.575
−0.968 −3.674 24.100 −1.934 −3.708 24.100 −0.727 −1.693 24.575
−0.981 −2.164 24.100 −1.961 −5.054 24.100 −0.738 −2.941 24.575
−0.989 −3.744 24.100 −1.989 −3.755 24.100 −0.754 −1.762 24.575
−1.010 −2.231 24.100 −2.032 −5.034 24.100 −0.755 −3.014 24.575
−1.011 −3.813 24.100 −2.047 −3.801 24.100 −0.773 −3.086 24.575
−1.033 −3.883 24.100 −2.099 −5.005 24.100 −0.782 −1.830 24.575
−1.039 −2.298 24.100 −2.105 −3.845 24.100 −0.790 −3.158 24.575
−1.057 −3.952 24.100 −2.164 −4.971 24.100 −0.809 −3.230 24.575
−1.069 −2.364 24.100 −2.165 −3.887 24.100 −0.810 −1.899 24.575
−1.081 −4.021 24.100 −2.225 −4.931 24.100 −0.827 −3.302 24.575
−1.099 −2.431 24.100 −2.226 −3.928 24.100 −0.838 −1.968 24.575
−1.106 −4.090 24.100 −2.285 −4.889 24.100 −0.846 −3.373 24.575
−1.130 −2.497 24.100 −2.287 −3.968 24.100 −0.865 −3.445 24.575
−1.132 −4.159 24.100 −2.342 −4.843 24.100 −0.866 −2.036 24.575
−1.159 −4.227 24.100 −2.348 −4.008 24.100 −0.885 −3.517 24.575
−1.162 −2.563 24.100 −2.397 −4.796 24.100 −0.895 −2.105 24.575
−1.187 −4.294 24.100 −2.409 −4.049 24.100 −0.905 −3.588 24.575
−1.193 −2.629 24.100 −2.451 −4.746 24.100 −0.924 −2.173 24.575
−1.216 −4.361 24.100 −2.466 −4.093 24.100 −0.926 −3.659 24.575
−1.226 −2.695 24.100 −2.501 −4.693 24.100 −0.947 −3.731 24.575
−1.246 −4.428 24.100 −2.517 −4.146 24.100 −0.953 −2.242 24.575
−1.259 −2.760 24.100 −2.517 −4.146 24.100 −0.968 −3.802 24.575
−1.279 −4.493 24.100 −2.543 −4.633 24.100 −0.983 −2.310 24.575
−1.293 −2.825 24.100 −2.556 −4.208 24.100 −0.990 −3.872 24.575
−1.312 −4.558 24.100 −2.572 −4.566 24.100 −1.012 −2.378 24.575
−1.327 −2.890 24.100 −2.580 −4.277 24.100 −1.013 −3.943 24.575
−1.348 −4.622 24.100 −2.589 −4.495 24.100 −1.037 −4.014 24.575
−1.362 −2.954 24.100 −2.592 −4.349 24.100 −1.043 −2.445 24.575
−1.386 −4.685 24.100 −2.595 −4.422 24.100 −1.061 −4.084 24.575
−1.398 −3.017 24.100 −0.485 −1.705 24.575 −1.073 −2.513 24.575
−1.426 −4.746 24.100 −0.497 −1.779 24.575 −1.085 −4.154 24.575
−1.435 −3.080 24.100 −0.505 −1.635 24.575 −1.104 −2.580 24.575
−1.469 −4.805 24.100 −0.511 −1.852 24.575 −1.111 −4.223 24.575
−1.473 −3.143 24.100 −0.524 −1.925 24.575 −1.136 −2.648 24.575
−1.513 −3.205 24.100 −0.538 −1.997 24.575 −1.138 −4.293 24.575
−1.515 −4.861 24.100 −0.552 −2.070 24.575 −1.165 −4.362 24.575
−1.224 −4.498 24.575 −2.502 −4.258 24.575 −0.895 −2.279 25.050
−1.234 −2.848 24.575 −2.502 −4.258 24.575 −0.901 −3.950 25.050
−1.255 −4.565 24.575 −2.514 −4.813 24.575 −0.923 −4.022 25.050
−1.267 −2.914 24.575 −2.544 −4.318 24.575 −0.925 −2.348 25.050
−1.288 −4.632 24.575 −2.553 −4.750 24.575 −0.946 −4.094 25.050
−1.302 −2.980 24.575 −2.572 −4.387 24.575 −0.956 −2.417 25.050
−1.323 −4.697 24.575 −2.580 −4.680 24.575 −0.970 −4.166 25.050
−1.337 −3.045 24.575 −2.588 −4.459 24.575 −0.987 −2.486 25.050
−1.360 −4.762 24.575 −2.593 −4.607 24.575 −0.995 −4.237 25.050
−1.373 −3.110 24.575 −2.595 −4.533 24.575 −1.018 −2.555 25.050
−1.399 −4.825 24.575 −0.433 −1.811 25.050 −1.021 −4.308 25.050
−1.410 −3.174 24.575 −0.443 −1.886 25.050 −1.047 −4.379 25.050
−1.440 −4.887 24.575 −0.456 −1.740 25.050 −1.049 −2.623 25.050
−1.448 −3.238 24.575 −0.457 −1.960 25.050 −1.076 −4.449 25.050
−1.484 −4.946 24.575 −0.470 −2.034 25.050 −1.081 −2.692 25.050
−1.487 −3.301 24.575 −0.484 −2.109 25.050 −1.105 −4.518 25.050
−1.527 −3.363 24.575 −0.498 −2.183 25.050 −1.113 −2.760 25.050
−1.532 −5.003 24.575 −0.512 −2.257 25.050 −1.136 −4.587 25.050
−1.569 −3.425 24.575 −0.514 −1.693 25.050 −1.146 −2.828 25.050
−1.584 −5.056 24.575 −0.526 −2.331 25.050 −1.169 −4.655 25.050
−1.612 −3.485 24.575 −0.540 −2.406 25.050 −1.179 −2.896 25.050
−1.640 −5.105 24.575 −0.554 −2.480 25.050 −1.203 −4.723 25.050
−1.656 −3.545 24.575 −0.569 −2.554 25.050 −1.213 −2.964 25.050
−1.701 −5.147 24.575 −0.584 −2.628 25.050 −1.239 −4.789 25.050
−1.702 −3.603 24.575 −0.588 −1.687 25.050 −1.247 −3.031 25.050
−1.750 −3.660 24.575 −0.599 −2.702 25.050 −1.278 −4.854 25.050
−1.767 −5.180 24.575 −0.614 −2.776 25.050 −1.282 −3.098 25.050
−1.800 −3.715 24.575 −0.629 −2.850 25.050 −1.318 −3.164 25.050
−1.838 −5.202 24.575 −0.645 −2.924 25.050 −1.319 −4.917 25.050
−1.851 −3.769 24.575 −0.652 −1.726 25.050 −1.355 −3.230 25.050
−1.904 −3.821 24.575 −0.661 −2.998 25.050 −1.363 −4.979 25.050
−1.912 −5.209 24.575 −0.677 −3.072 25.050 −1.393 −3.296 25.050
−1.959 −3.870 24.575 −0.687 −1.792 25.050 −1.409 −5.038 25.050
−1.986 −5.202 24.575 −0.693 −3.145 25.050 −1.431 −3.361 25.050
−2.016 −3.918 24.575 −0.710 −3.219 25.050 −1.459 −5.095 25.050
−2.057 −5.182 24.575 −0.716 −1.862 25.050 −1.471 −3.425 25.050
−2.075 −3.964 24.575 −0.727 −3.293 25.050 −1.512 −3.489 25.050
−2.125 −5.152 24.575 −0.745 −3.366 25.050 −1.512 −5.149 25.050
−2.135 −4.007 24.575 −0.746 −1.931 25.050 −1.554 −3.552 25.050
−2.189 −5.114 24.575 −0.762 −3.439 25.050 −1.569 −5.198 25.050
−2.196 −4.049 24.575 −0.775 −2.001 25.050 −1.597 −3.614 25.050
−2.250 −5.072 24.575 −0.781 −3.513 25.050 −1.630 −5.243 25.050
−2.259 −4.089 24.575 −0.799 −3.586 25.050 −1.641 −3.675 25.050
−2.308 −5.025 24.575 −0.805 −2.070 25.050 −1.687 −3.735 25.050
−2.322 −4.128 24.575 −0.819 −3.659 25.050 −1.695 −5.282 25.050
−2.363 −4.976 24.575 −0.835 −2.140 25.050 −1.734 −3.794 25.050
−2.386 −4.166 24.575 −0.838 −3.732 25.050 −1.763 −5.314 25.050
−1.885 −3.963 25.050 −0.571 −3.174 25.525 −1.322 −5.185 25.525
−1.910 −5.349 25.050 −0.588 −3.250 25.525 −1.337 −3.437 25.525
−1.939 −4.016 25.050 −0.604 −3.325 25.525 −1.373 −3.505 25.525
−1.985 −5.350 25.050 −0.618 −1.892 25.525 −1.377 −5.239 25.525
−1.995 −4.067 25.050 −0.621 −3.401 25.525 −1.409 −3.574 25.525
−2.052 −4.116 25.050 −0.638 −3.476 25.525 −1.437 −5.289 25.525
−2.060 −5.339 25.050 −0.652 −1.962 25.525 −1.447 −3.642 25.525
−2.112 −4.162 25.050 −0.656 −3.552 25.525 −1.485 −3.709 25.525
−2.132 −5.316 25.050 −0.674 −3.627 25.525 −1.500 −5.333 25.525
−2.173 −4.206 25.050 −0.685 −2.032 25.525 −1.524 −3.775 25.525
−2.200 −5.284 25.050 −0.692 −3.702 25.525 −1.565 −3.841 25.525
−2.237 −4.247 25.050 −0.711 −3.777 25.525 −1.568 −5.371 25.525
−2.264 −5.244 25.050 −0.717 −2.102 25.525 −1.608 −3.906 25.525
−2.302 −4.285 25.050 −0.731 −3.852 25.525 −1.638 −5.403 25.525
−2.324 −5.199 25.050 −0.750 −2.172 25.525 −1.652 −3.970 25.525
−2.369 −4.320 25.050 −0.751 −3.927 25.525 −1.697 −4.032 25.525
−2.380 −5.148 25.050 −0.771 −4.002 25.525 −1.711 −5.429 25.525
−2.432 −5.093 25.050 −0.782 −2.243 25.525 −1.745 −4.093 25.525
−2.434 −4.359 25.050 −0.793 −4.076 25.525 −1.785 −5.450 25.525
−2.481 −5.035 25.050 −0.815 −2.313 25.525 −1.795 −4.152 25.525
−2.492 −4.407 25.050 −0.815 −4.150 25.525 −1.847 −4.210 25.525
−2.525 −4.974 25.050 −0.838 −4.224 25.525 −1.861 −5.466 25.525
−2.536 −4.468 25.050 −0.847 −2.384 25.525 −1.902 −4.264 25.525
−2.561 −4.908 25.050 −0.861 −4.298 25.525 −1.938 −5.479 25.525
−2.561 −4.907 25.050 −0.879 −2.454 25.525 −1.959 −4.316 25.525
−2.567 −4.537 25.050 −0.886 −4.372 25.525 −2.015 −5.486 25.525
−2.586 −4.610 25.050 −0.911 −2.525 25.525 −2.019 −4.366 25.525
−2.586 −4.835 25.050 −0.912 −4.444 25.525 −2.082 −4.411 25.525
−2.596 −4.685 25.050 −0.939 −4.517 25.525 −2.092 −5.487 25.525
−2.596 −4.760 25.050 −0.943 −2.595 25.525 −2.147 −4.454 25.525
−0.343 −1.956 25.525 −0.968 −4.589 25.525 −2.169 −5.479 25.525
−0.353 −2.033 25.525 −0.975 −2.666 25.525 −2.213 −4.493 25.525
−0.366 −1.883 25.525 −0.998 −4.660 25.525 −2.213 −4.493 25.525
−0.366 −2.109 25.525 −1.006 −2.736 25.525 −2.245 −5.463 25.525
−0.380 −2.186 25.525 −1.030 −4.731 25.525 −2.283 −4.527 25.525
−0.394 −2.262 25.525 −1.038 −2.807 25.525 −2.318 −5.437 25.525
−0.408 −2.338 25.525 −1.063 −4.801 25.525 −2.353 −4.560 25.525
−0.421 −1.830 25.525 −1.070 −2.878 25.525 −2.386 −5.400 25.525
−0.422 −2.414 25.525 −1.099 −4.869 25.525 −2.420 −4.599 25.525
−0.436 −2.490 25.525 −1.102 −2.948 25.525 −2.446 −5.352 25.525
−0.450 −2.566 25.525 −1.135 −3.018 25.525 −2.479 −4.648 25.525
−0.465 −2.642 25.525 −1.138 −4.936 25.525 −2.498 −5.294 25.525
−0.479 −2.718 25.525 −1.167 −3.089 25.525 −2.525 −4.710 25.525
−0.494 −2.794 25.525 −1.179 −5.002 25.525 −2.539 −5.229 25.525
−0.495 −1.811 25.525 −1.200 −3.159 25.525 −2.559 −4.780 25.525
−0.509 −2.870 25.525 −1.223 −5.066 25.525 −2.572 −5.159 25.525
−0.524 −2.946 25.525 −1.234 −3.229 25.525 −2.581 −4.854 25.525
It will also be appreciated that the internal core profile of the nozzle airfoil disclosed in the above table may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in Table I may be scaled upwardly or downwardly such that the internal profile shape of the nozzle airfoil remains unchanged. A scaled version of the coordinates of Table I would be represented by X, Y and Z coordinate values of Table I multiplied or divided by a constant number.
While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiment, but on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims.
